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Finding the Fourth Proportional to 6,323.04, 9,468 and 4,125.60

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Solution

The fourth proportional to 6,323.04, 9,468 and 4,125.60 is: 6,177.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,323.04 : 9,468 = 4,125.60 : x
  2. Step 2: Convert to fraction form
    6,323.04/9,468 = 4,125.60/x
  3. Step 3: Cross multiply
    6,323.04x = 9,468 × 4,125.60
  4. Step 4: Simplify right side
    6,323.04x = 39,061,180.80
  5. Step 5: Solve for x
    x = 39,061,180.80/6,323.04
  6. Step 6: Final answer
    x = 6,177.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.